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8913106305 = 3253712894153
BaseRepresentation
bin10000100110100001…
…10011010110000001
3212000011120201021100
420103100303112001
5121223223400210
64032234445013
7433606103445
oct102320632601
925004521240
108913106305
113864241764
121888b93769
13ac07781cc
14607a76825
153727655c0
hex213433581

8913106305 has 48 divisors (see below), whose sum is σ = 15883068240. Its totient is φ = 4620478464.

The previous prime is 8913106289. The next prime is 8913106333. The reversal of 8913106305 is 5036013198.

It is a happy number.

8913106305 is a `hidden beast` number, since 8 + 9 + 1 + 3 + 10 + 630 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1557504 + 8911548801 = 1248^2 + 94401^2 .

It is not a de Polignac number, because 8913106305 - 24 = 8913106289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8913106305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2144109 + ... + 2148261.

It is an arithmetic number, because the mean of its divisors is an integer number (330897255).

Almost surely, 28913106305 is an apocalyptic number.

It is an amenable number.

8913106305 is a deficient number, since it is larger than the sum of its proper divisors (6969961935).

8913106305 is a wasteful number, since it uses less digits than its factorization.

8913106305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5490 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 8913106305 is about 94409.2490437245. The cubic root of 8913106305 is about 2073.3678600040.

The spelling of 8913106305 in words is "eight billion, nine hundred thirteen million, one hundred six thousand, three hundred five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1289 1665 3867 4153 6445 11601 12459 19335 20765 37377 47693 58005 62295 143079 153661 186885 238465 429237 460983 715395 768305 1382949 2146185 2304915 5353217 6914745 16059651 26766085 48178953 80298255 198069029 240894765 594207087 990345145 1782621261 2971035435 8913106305